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Finding the Fourth Proportional to 1,816.32, 2,724.82 and 776.32

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Solution

The fourth proportional to 1,816.32, 2,724.82 and 776.32 is: 1,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.32 : 2,724.82 = 776.32 : x
  2. Step 2: Convert to fraction form
    1,816.32/2,724.82 = 776.32/x
  3. Step 3: Cross multiply
    1,816.32x = 2,724.82 × 776.32
  4. Step 4: Simplify right side
    1,816.32x = 2,115,332.26
  5. Step 5: Solve for x
    x = 2,115,332.26/1,816.32
  6. Step 6: Final answer
    x = 1,164.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.